Book contents
- Frontmatter
- Contents
- Preface
- 1 Convex functions and sets
- 2 Orlicz spaces
- 3 Gauges and locally convex spaces
- 4 Separation theorems
- 5 Duality: dual topologies, bipolar sets, and Legendre transforms
- 6 Monotone and convex matrix functions
- 7 Loewner's theorem: a first proof
- 8 Extreme points and the Krein–Milman theorem
- 9 The Strong Krein–Milman theorem
- 10 Choquet theory: existence
- 11 Choquet theory: uniqueness
- 12 Complex interpolation
- 13 The Brunn–Minkowski inequalities and log concave functions
- 14 Rearrangement inequalities, I. Brascamp–Lieb–Luttinger inequalities
- 15 Rearrangement inequalities, II. Majorization
- 16 The relative entropy
- 17 Notes
- References
- Author index
- Subject index
14 - Rearrangement inequalities, I. Brascamp–Lieb–Luttinger inequalities
Published online by Cambridge University Press: 01 June 2011
Book contents
- Frontmatter
- Contents
- Preface
- 1 Convex functions and sets
- 2 Orlicz spaces
- 3 Gauges and locally convex spaces
- 4 Separation theorems
- 5 Duality: dual topologies, bipolar sets, and Legendre transforms
- 6 Monotone and convex matrix functions
- 7 Loewner's theorem: a first proof
- 8 Extreme points and the Krein–Milman theorem
- 9 The Strong Krein–Milman theorem
- 10 Choquet theory: existence
- 11 Choquet theory: uniqueness
- 12 Complex interpolation
- 13 The Brunn–Minkowski inequalities and log concave functions
- 14 Rearrangement inequalities, I. Brascamp–Lieb–Luttinger inequalities
- 15 Rearrangement inequalities, II. Majorization
- 16 The relative entropy
- 17 Notes
- References
- Author index
- Subject index
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- ConvexityAn Analytic Viewpoint, pp. 208 - 230Publisher: Cambridge University PressPrint publication year: 2011